Title of article :
The Symmetric Group of Degree Six can be Covered by 13 and no Fewer Proper Subgroups
Author/Authors :
Abdollahi, A. university of isfahan - Department of Mathematics, اصفهان, ايران , Ashraf, F. university of isfahan - Department of Mathematics, اصفهان, ايران , Shaker, S.M. university of isfahan - Department of Mathematics, اصفهان, ايران
Abstract :
In this note, we prove that the symmetric group of degree six can becovered by 13 and no fewer proper subgroups. This partially answers a questionof M. J. Tomkinson [Groups as the union of proper subgroups, Math. Scand.81(1997), 189–198] and gives a negative answer to a part of a conjecture ofL. Serena [On finite covers of groups by subgroups, Advances in group theory2002, 173–190, Aracne, Rome, 2003].
Keywords :
Covering groups by subgroups , union of subgroups , symmetric groups.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
